

Marie Curie host fellowship for early stage training (EST)

Title of project:  Inverse acoustic obstacle scattering 
Stipendiary: 
Olha Ivanyshyn ivanyshyatmath.unigoettingen.de 
Supervisors:  Dr. Tomas Johansson and Professor Derek B. Ingham 
Department:  Centre for CFD, SPEME, University of Leeds 
Period:  01.07.06 to 30.09.06 
EU contract no.:  MESTCT2005020327 
Education 

2004present 
Graduate student (Graduierten kolleg "Identification in Mathematical Models"),GeorgAugustUniversity Göttingen.
PhD Supervisor: Professor Dr. Rainer Kress 


20022003 
Master's degree in Applied Mathematics and Computer Science, Ivan Franko National University of Lviv.
MSc Supervisor: Dozent Dr. Roman Chapko 


19982002 
Bachelor's degree in Applied Mathematics and Computer Science, 
Research Interests:
Project Area:
In many engineering applications, for example in medical imaging and nondestructive testing, a common problem is to find the shape of an unknown obstacle using information from the influence that the obstacle has on propagating waves. Such a type of problem also occurs in fluid dynamics where objects submerged in water are to be detected. A similar model can be applied when the size and shape of particles in liquid suspensions and aerosols are to be determined from light scattered by the particles. These situations can be mathematically modelled as a socalled inverse scattering problem. It is a highly challenging problem from both computational and theoretical aspects, since it is illposed, i.e. sensitive to errors in the data, and nonlinear.
Achievements during the project:
Publications:
Attended conferences and talks: